# Write the point slope form of an equation given the following. Slope 3/4 through point (-5,7)

Write the point slope form of an equation given the following.
Slope 3/4 through point (-5,7)
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Abagail Meyers
We know point-slope form is
$y-{y}_{1}=m\left(x-{x}_{1}\right)\phantom{\rule{0ex}{0ex}}y=7\phantom{\rule{1em}{0ex}}x=-5\phantom{\rule{0ex}{0ex}}y-7=\frac{3}{4}\left[x-\left(-5\right)\right]\phantom{\rule{0ex}{0ex}}y-7=\frac{3}{4}\left(x+5\right)\phantom{\rule{0ex}{0ex}}y-7=\frac{3}{4}x+\frac{15}{4}\phantom{\rule{0ex}{0ex}}y=\frac{3}{4}x+\frac{15}{4}+7\phantom{\rule{0ex}{0ex}}=\frac{3}{4}x+\frac{43}{4}\phantom{\rule{0ex}{0ex}}y=\frac{3}{4}x+\frac{43}{4}$